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Finding the Fourth Proportional to 665,793, 998,941.05 and 399,739.14

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Solution

The fourth proportional to 665,793, 998,941.05 and 399,739.14 is: 599,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,793 : 998,941.05 = 399,739.14 : x
  2. Step 2: Convert to fraction form
    665,793/998,941.05 = 399,739.14/x
  3. Step 3: Cross multiply
    665,793x = 998,941.05 × 399,739.14
  4. Step 4: Simplify right side
    665,793x = 399,315,836,237.70
  5. Step 5: Solve for x
    x = 399,315,836,237.70/665,793
  6. Step 6: Final answer
    x = 599,759.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.